The result of $194^{595} \mod 1079$ is 51.

Would you like any further details or have any questions? Here are some related questions:

1. How does modular exponentiation work?
2. What are some applications of modular arithmetic?
3. Can we solve similar problems for larger numbers?
4. How do we compute modular inverses?
5. What is the significance of the modulus in cryptography?

Tip: Modular exponentiation is commonly used in cryptography, especially in algorithms like RSA, due to its efficiency in handling large numbers.